Question

2. In the adjoining figure O is the centre of the circle
whose diameter is MN. Measures of some central
angles are given in the figure. Hence find the following
(1) m2 AOB and mZ COD
(2) Show that arc AB = arc CD.
(3) Show that chord AB = chord CD​

Answer 1

Answer:

2)

in ∆AOB&∆COD

OA=OC....(radii of same circle)

OB=OD....(radii of same circle)

therefore∆AOB~∆COD...(by SS test of similarity)

therefore SideAB=SideCD....(c.s.s.t)

but they are also chords of Circle

3) chord AB=chordCD

2) arcAB=arcCD....Cong chords .Cong arcs